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Holomorphic Automorphism Groups In Banach Spaces
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Book Synopsis Holomorphic Automorphism Groups in Banach Spaces by : J.M. Isidro
Download or read book Holomorphic Automorphism Groups in Banach Spaces written by J.M. Isidro and published by Elsevier. This book was released on 2011-08-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic Automorphism Groups in Banach Spaces
Download or read book Jordan Algebras written by Wilhelm Kaup and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Algebra and Applications 1 by : Abdenacer Makhlouf
Download or read book Algebra and Applications 1 written by Abdenacer Makhlouf and published by John Wiley & Sons. This book was released on 2021-05-11 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.
Book Synopsis Introduction to Holomorphy by : J.A. Barroso
Download or read book Introduction to Holomorphy written by J.A. Barroso and published by Elsevier. This book was released on 2000-04-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.
Book Synopsis Jordan Triple Systems in Complex and Functional Analysis by : José M. Isidro
Download or read book Jordan Triple Systems in Complex and Functional Analysis written by José M. Isidro and published by American Mathematical Soc.. This book was released on 2019-12-09 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.
Book Synopsis Multivariable Operator Theory by : Raúl E. Curto
Download or read book Multivariable Operator Theory written by Raúl E. Curto and published by American Mathematical Soc.. This book was released on 1995 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers presented at a conference on multivariable operator theory. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. This collection will spur further discussion among the different research groups.
Book Synopsis Recent Advances on Metric Fixed Point Theory by : Tomás Domínguez Benavides
Download or read book Recent Advances on Metric Fixed Point Theory written by Tomás Domínguez Benavides and published by Universidad de Sevilla. This book was released on 1996 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Analysis in China by : Minde Cheng
Download or read book Harmonic Analysis in China written by Minde Cheng and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates. The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic analysis on classical Lie groups and manifolds, LP- estimates of the Cauchy-Riemann equations and wavelet transforms. The reader will also be able to trace the great influence of the late Professor Loo-keng Hua's ideas and methods on research into harmonic analysis on classical domains and the theory of functions of several complex variables. Western scientists will thus become acquainted with the unique features and future trends of harmonic analysis in China. Audience: Analysts, as well as engineers and physicists who use harmonic analysis.
Download or read book The Schwarz Lemma written by Sean Dineen and published by Courier Dover Publications. This book was released on 2016-04-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Oxford: Clarendon Press, 1989.
Book Synopsis Linearization Models for Complex Dynamical Systems by : Mark Elin
Download or read book Linearization Models for Complex Dynamical Systems written by Mark Elin and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Book Synopsis Several Complex Variables IV by : Semen G. Gindikin
Download or read book Several Complex Variables IV written by Semen G. Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.
Book Synopsis A Panorama of Hungarian Mathematics in the Twentieth Century, I by : Janos Horvath
Download or read book A Panorama of Hungarian Mathematics in the Twentieth Century, I written by Janos Horvath and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: A glorious period of Hungarian mathematics started in 1900 when Lipót Fejér discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics. The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.
Book Synopsis Symmetric Banach Manifolds and Jordan C*-Algebras by : H. Upmeier
Download or read book Symmetric Banach Manifolds and Jordan C*-Algebras written by H. Upmeier and published by Elsevier. This book was released on 2011-08-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.
Book Synopsis Semigroups of Operators: Theory and Applications by : A.V. Balakrishnan
Download or read book Semigroups of Operators: Theory and Applications written by A.V. Balakrishnan and published by Birkhäuser. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.
Book Synopsis Bounded Symmetric Domains In Banach Spaces by : Cho-ho Chu
Download or read book Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and published by World Scientific. This book was released on 2020-09-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
Download or read book Space Curves written by Franco Ghione and published by Springer. This book was released on 1987 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry.
Book Synopsis Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces by : Simeon Reich
Download or read book Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces written by Simeon Reich and published by Imperial College Press. This book was released on 2005 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces. Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments. Contents: Mappings in Metric and Normed Spaces; Differentiable and Holomorphic Mappings in Banach Spaces; Hyperbolic Metrics on Domains in Complex Banach Spaces; Some Fixed Point Principles; The DenjoyOCoWolff Fixed Point Theory; Generation Theory for One-Parameter Semigroups; Flow-Invariance Conditions; Stationary Points of Continuous Semigroups; Asymptotic Behavior of Continuous Flows; Geometry of Domains in Banach Spaces."